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Finding the Fourth Proportional to 224,532.81, 309,779.64 and 139,644.81

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Solution

The fourth proportional to 224,532.81, 309,779.64 and 139,644.81 is: 192,662.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,532.81 : 309,779.64 = 139,644.81 : x
  2. Step 2: Convert to fraction form
    224,532.81/309,779.64 = 139,644.81/x
  3. Step 3: Cross multiply
    224,532.81x = 309,779.64 × 139,644.81
  4. Step 4: Simplify right side
    224,532.81x = 43,259,118,969.67
  5. Step 5: Solve for x
    x = 43,259,118,969.67/224,532.81
  6. Step 6: Final answer
    x = 192,662.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.